AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Complex contour integral representations of cardinal spline functions
About this Title
Walter Schempp
Publication: Contemporary Mathematics
Publication Year:
1982; Volume 7
ISBNs: 978-0-8218-5006-0 (print); 978-0-8218-7593-3 (online)
DOI: https://doi.org/10.1090/conm/007
MathSciNet review: 646616
Table of Contents
Download chapters as PDF
Front/Back Matter
Chapters
- 1. Cardinal Spline Functions
- 2. A Complex Contour Integral Representation of Basis Spline Functions (Compact Paths)
- 3. The Case of Equidistant Knots
- 4. Cardinal Exponential Spline Functions and Interpolants
- 5. Inversion of Laplace Transform
- 6. A Complex Contour Integral Representation of Cardinal Exponential Spline Functions (Non-Compact Paths)
- 7. A Complex Contour Integral Representation of Euler-Frobenius Polynomials (Non-Compact Paths)
- 8. Cardinal Exponential Spline Interpolants of Higher Order
- 9. Convergence Behaviour of Cardinal Exponential Spline Interpolants
- 10. Divergence Behaviour of Polynomial Interpolants on Compact Intervals (The Méray-Runge Phenomenon)
- 11. Cardinal Logarithmic Spline Interpolants
- 12. Inversion of Mellin Transform
- 13. A Complex Contour Integral Representation of Cardinal Logarithmic Spline Interpolants (Non-Compact Paths)
- 14. Divergence Behaviour of Cardinal Logarithmic Spline Interpolants (The Newman-Schoenberg Phenomenon)
- 15. Summary and Concluding Remarks
- References
- Subject Index
- Author Index